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Simplifying 16 + 6a = 5(-4a + -2) Reorder the terms: 16 + 6a = 5(-2 + -4a) 16 + 6a = (-2 * 5 + -4a * 5) 16 + 6a = (-10 + -20a) Solving 16 + 6a = -10 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 16 + 6a + 20a = -10 + -20a + 20a Combine like terms: 6a + 20a = 26a 16 + 26a = -10 + -20a + 20a Combine like terms: -20a + 20a = 0 16 + 26a = -10 + 0 16 + 26a = -10 Add '-16' to each side of the equation. 16 + -16 + 26a = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 26a = -10 + -16 26a = -10 + -16 Combine like terms: -10 + -16 = -26 26a = -26 Divide each side by '26'. a = -1 Simplifying a = -1
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